2 problems

Let $K$ be a positive braid knot, meaning a knot represented as the closure of a braid whose crossings are all positive. Let $b(K)$ denote its bridge index and $\beta(K)$ its braid…

Let $\hat\beta_1$ and $\hat\beta_2$ be positive braid knots. A positive path from $\hat\beta_2$ to $\hat\beta_1$ is a sequence of positive braid knots beginning at $\hat\beta_2$ an…